This preview shows page 1. Sign up to view the full content.
Unformatted text preview: CE243B 1 Prof. Wallace CE243B - DESIGN AND RESPONSE OF RC STRUCTURAL SYSTEMS Problem Set #1: Dynamic Analysis & Response History/Spectrum Due date: 1.1 and 1.2 April 9; 1.3 April 11 Problem 1.1 Response Spectrum Analysis For preliminary design purposes, a 40 story, 480 ft tall, building with 12 ft story heights is modeled as a uniform shear beam. Therefore, the circular frequencies and mode shapes of the building are described as: = = L x n x hL m EI n n i n 2 1 2 sin ) ( 12 2 1 2 2 where the values of story mass m i = 24 kip-s 2 /ft and total column stiffness at each floor EI = 4.0E6 kip- ft 2 . Determine the following: (a) The effective modal mass n n M L / 2 for each of the first five modes. What fraction of the total mass is associated with each mode? (b) Compute the approximate maximum top displacement, base shear, and base over-turning moment by the root-sum-square method, assuming that the velocity response spectrum value for each...
View Full Document
- Spring '10